For the function f(x) = sinx, where a = find the following. 6 a. Find the Taylor polynomials of order n=1 and n=2 centered at the given point a. 2π . Use the Taylor polynomials to approximate the expression sin a. P₁ (x)= Type an exact answer, using as needed.) 1 -₂(x)= - +³²(x-7) - 4(x-7)² Type an exact answer, using as needed.) Make a table showing the approximations and the absolute error in these approximations using a calculator for the exact function value. . Fill out the following table, using the Taylor polynomials to approximate the expression sin Do not round until the final answer. Then round to five decimal places as needed.). n Pn (x) Error 1 2

Q: 3c. Show that f (x) is O at least once in the given intervals. f(x) = x sin tx – (x – 2) In x, [1,…

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Q: Calculate approximations of tan(π/4-0.1) by using Taylor polynomials P₁(x), P2(x), P3(x). Use c=π/4.…

A: The given function is fx=tanπ4-0.1 To find: P1x, P2x, P3x about the center c=π4.

Q: . Use a table to find the Taylor Polynomial P;(x) for f(x) = cos(x) with center c = π. A. P(x)= B.…

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Q: Find all of the real and imaginary zeros for g(x). g(x) = x3 + 9x² + 29x + 36 Choose the correct…

A: see 2nd and 3rd step.

Q: The 4th degree Taylor polynomial for sin(x) centered at a = is given by V3 V3 + R4(x). sin(x) = + х…

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Q: f (x) = sin x at c = 4

A: Solution: Given, f(x)=sin x We have to find the Taylor polynomial P5(x) at c=π4 Formula:…

Q: 6. Use the rules for derivatives (not the definition) to find the derivatives below. You do not nced…

A: Given: f(x)=y1=x-x2   and g(x)=y2=2x+12(1-2x) We have to find the derivative of the given function…

Q: Calculate the Taylor polynomials T, and T3 centered at x = a for the function f(x) = 29 In (x + 1),…

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Q: Let f(x) = x – x² – 10x -8 for questions #5, 6, & 7. %3D 5. Find all possible rational zeros. a. ±1,…

A: Rational zeros of the function

Q: 3. Let arctan(2)dx. -S² x (a) Find the Taylor polynomial of order 2, P₂(x), about x = 0 for the…

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